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The current I,1 is going to the left through the 5.8 V battery. The speaker accidentally says it's going to the right.
When I add -3.4643 and -1.4370 i keep getting -4.9013 not -5.9013 in regards to your solutions. Following the procedure outlined in the video, I actually get the wrong answer for the associated homework.
nevermind, ignored the one that was there. please disregard